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Simplifying -7(2n + 5) + -7(1 + 5n) = -42 Reorder the terms: -7(5 + 2n) + -7(1 + 5n) = -42 (5 * -7 + 2n * -7) + -7(1 + 5n) = -42 (-35 + -14n) + -7(1 + 5n) = -42 -35 + -14n + (1 * -7 + 5n * -7) = -42 -35 + -14n + (-7 + -35n) = -42 Reorder the terms: -35 + -7 + -14n + -35n = -42 Combine like terms: -35 + -7 = -42 -42 + -14n + -35n = -42 Combine like terms: -14n + -35n = -49n -42 + -49n = -42 Add '42' to each side of the equation. -42 + 42 + -49n = -42 + 42 Combine like terms: -42 + 42 = 0 0 + -49n = -42 + 42 -49n = -42 + 42 Combine like terms: -42 + 42 = 0 -49n = 0 Solving -49n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-49'. n = 0 Simplifying n = 0
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